Atkin-Lehner |
2+ 3+ 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
35520n |
Isogeny class |
Conductor |
35520 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-70022707200000 = -1 · 214 · 33 · 55 · 373 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 0 1 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7445,474957] |
[a1,a2,a3,a4,a6] |
j |
-2785840267264/4273846875 |
j-invariant |
L |
2.7671196017899 |
L(r)(E,1)/r! |
Ω |
0.55342392035555 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35520cw1 2220c1 106560bi1 |
Quadratic twists by: -4 8 -3 |